228276101040 has 240 divisors, whose sum is σ = 782588625408. Its totient is φ = 54995026944.

The previous prime is 228276100999. The next prime is 228276101041. The reversal of 228276101040 is 40101672822.

228276101040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 228276100992 and 228276101010.

It is not an unprimeable number, because it can be changed into a prime (228276101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1846447 + ... + 1966193.

Almost surely, 2^228276101040 is an apocalyptic number.

228276101040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228276101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391294312704).

228276101040 is an abundant number, since it is smaller than the sum of its proper divisors (554312524368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228276101040 is a wasteful number, since it uses less digits than its factorization.

228276101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119836 (or 119817 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

Adding to 228276101040 its reverse (40101672822), we get a palindrome (268377773862).

The spelling of 228276101040 in words is "two hundred twenty-eight billion, two hundred seventy-six million, one hundred one thousand, forty".